Start by crushing your candy canes. Place them in a sealed plastic bag and use a rolling pin to crush them. Reserve extra candy canes to use later to top your ice cream.
Over a large bowl, beat the heavy whipping cream in high speed until stiff peaks form. Mix in the sweetened condensed milk, peppermint extract, vanilla extract and salt.
Fold in the crushed candy canes and spread them evenly throughout the ice cream. Spread your ice cream mixture in an even layer in a loaf pan or a freezable airtight container and add some extra crushed peppermint candy canes for garnish.
Your ice cream could change to a pink color due to the red coloring from the peppermint sticks. When mixed with the ice cream base, the red color seeps into the white base and colors it to a light pink shade.